3838340 has 48 divisors (see below), whose sum is σ = 8951040. Its totient is φ = 1370880.

The previous prime is 3838333. The next prime is 3838381. The reversal of 3838340 is 438383.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15941 + ... + 16179.

It is an arithmetic number, because the mean of its divisors is an integer number (186480).

Almost surely, 2^3838340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475520).

3838340 is an abundant number, since it is smaller than the sum of its proper divisors (5112700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3838340 is a wasteful number, since it uses less digits than its factorization.

3838340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3838340 is about 1959.1681908402. The cubic root of 3838340 is about 156.5721375323.

It can be divided in two parts, 3838 and 340, that multiplied together give a triangular number (1304920 = T₁₆₁₅).

The spelling of 3838340 in words is "three million, eight hundred thirty-eight thousand, three hundred forty".